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Finding the Fourth Proportional to 146.79, 218.98 and 142.37

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Solution

The fourth proportional to 146.79, 218.98 and 142.37 is: 212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.79 : 218.98 = 142.37 : x
  2. Step 2: Convert to fraction form
    146.79/218.98 = 142.37/x
  3. Step 3: Cross multiply
    146.79x = 218.98 × 142.37
  4. Step 4: Simplify right side
    146.79x = 31,176.18
  5. Step 5: Solve for x
    x = 31,176.18/146.79
  6. Step 6: Final answer
    x = 212.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.